the reduce mass of positronium will be-
a. m
b. 2m
c. 4m
d. m/2
Answers
C) I hope that my ans is correct if correct then mark me brain list please humble request to u.
ൌ ଵ
ଶ
ൌ ݉ݒଶ ൌ ݍ ܸq = charge on the particel
(ii) Momentum of particle ൌ ݉ݒ ൌ √2݉ܧ ൌ ඥ2݉ݍܸ
(iii) The De Broglie wavelength associated with charges particles
ൌ ߣ
݄
݄ ൌ
√2݉ܧ ൌ ݄
ܸݍ݉ඥ2
(iv) For an electron m = 9.1 x 10 -31 kg q = 1.6 x 10 ‐19 coulomb, h = 6.62 x 10 ‐34 Joule‐sec.
De Broglie wavelength associated with electron
ߣ ൌ ଵଶ.ଶ
√
ܣ
(v) i.e ߣ ן ଵ
√
(vi) The potential difference required to bring an electron of wavelength ߣ ܣ to rest ܸ ൌ
ଵହ.
ݐ݈ݒ ఒమ
(vii) For a proton mp = 1.67 x 10 ‐27 kg
ൌ ߣ
0.286 ݔ 10ିଵ
√ܸ
݉ ൌ
0.286
√ܸ
ܣ
(viii) For a deutron m = 2 x 1.67 x 10 -27 kg.
ߣ ൌ .ଶଶ
√
ܣ
(ix) For ߙ - particles
q = 2 1.6 x 10 ‐19, m= 4 x 1.67 x 10‐27 kg
ߣ ൌ .ଵଵ
√
ܣ
2. De Broglie wavelength associated with uncharged particles
(i) Wave length associated with the particle
ൌ ߣ
ൌ
௩ ൌ
√ଶா
(ii) For a neutron – m = 1.67 x 10 -27 kg
ߣ ൌ .ଶ଼
ඥா ሺሻ
ܣ
(iii) Energy of thermal neutrons at ordinary temperatures E = kT
ൌ ߣ
√ଶ்
ߣ ൌ ଷ.଼ଷହ
√்
ܣ
De Broglie wavelength associated with gas molecules ߣ ൌ
ೝೞ
crms = R.M.S. Velocity of gas molecules
(iv) Energy of gas molecules at temperature T0 K – ܧ ൌ ଷ
ଶ
݇ܶ
ൌ ߣ
√ଷ்
3. Explanation of Bohr quantization condition—
(i) Only those circular orbits in an atom are possible for electrons whose circumference is
an integral multiple of De Broglie wavelength associated with the electron.
ߣ݊ ൌ ݎߨ2
ൌ ݎݒ݉
ଶగ